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Stability and accuracy for the trapezoidal rule of the Newmark time integration method with variable time step sizes

가변시간간격을 갖는 Newmark 시간적분법의 사다리꼴법칙에 대한 안정성과 정확도

  • Noh, Yong-Su (Dept. of Precision Mechanical Engineering, Hanyang University) ;
  • Chung, Jin-Tae (Dept. of Mechanical Engineering, Hanyang University) ;
  • Bae, Dae-Seong (Dept. of Mechanical Engineering, Hanyang University)
  • 노용수 (한양대학교 대학원 정밀기계공학과) ;
  • 정진태 (한양대학교 기계공학과) ;
  • 배대성 (한양대학교 기계공학과)
  • Published : 1997.10.01

Abstract

Stability and accuracy for the trapezoidal rule of the Newmark time integration method are analyzed when variable time step sizes are adopted. A new analytic approach to stability and accuracy analysis is also proposed for time integration methods with variable time step sizes. The trapezoidal rule with variable time step sizes has the "actual" unconditional stability which is the same as that of the method with constant time step sizes. However, the method with variable time step sizes is first-order accurate while the method with constant time step sizes is second-order accurate. accurate.

Keywords

Time Integration;Variable Time Step Size;Stability;Accuracy

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